Complex Geometry and Lie Groups

Special Hermitian metrics up to conformal changes on non-Kähler manifolds

Daniele Angella (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

25 mar 2016 -- 16:45

Nara (Osaka, Japan)

Abstract.

We study problems related to the existence of special metric structures on complex non-Kähler manifolds. In particular, we consider metrics up to conformal changes. We study an analogue of the Yamabe problem in the Hermitian setting (joint work with Simone Calamai and Cristiano Spotti). We also consider the case of local conformal changes.